A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is

opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank

will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the

tank be full?

Answers

Answer 1

Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

(0.075V ) / hour • t = V

Solve for t :

t = V / ((0.075V ) / hour)

t = 1/0.075 hour

t ≈ 13.333 hours


Related Questions

Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.



Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.



Explain what the solution means in the context of the word problem.

Answers

The question is an illustration of inequalities and mathematical operations

The amount between $2 and $10 is $8

The amount between $10 and $20 is $10

$100 is greater than $50

(a) Amount between $2 and $10.

The amount is calculated as:

Hence, the amount between $2 and $10 is $8

(b) Amount between $10 and $20.

The amount is calculated as:

Hence, the amount between $10 and $20 is $10

(c) Amount greater than $50.

An amount greater than $50 is an amount that have an higher value.

Take for instance: $100

$100 is greater than $50, because it has a higher value.

There is no enough information to solve the other questions

Read more about inequalities and mathematical operations at:

brainly.com/question/19003099

Find the difference in 14 5/10 - 12 9/10 please

Answers

Answer:

1 3/5

Step-by-step explanation:

14 5/10 - 12 9/10

I like to line them up vertically

 14 5/10

- 12 9/10

-----------------

We need to borrow from the 14.  14 becomes 13 and the 1 becomes 10/10

 13 10/10+5/10

- 12 9/10

-----------------

13 15/10

- 12 9/10

-----------------

1  6/10

Simplify

1 3/5

Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is

Complete this division sentence. 9988 ÷ 23 =

Answers

Answer:

434 R2

Step-by-step explanation:

Hope this helps

find the value of x ​

Answers

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, x represents the exterior angle, while the m < 65° and m < 48° are the non-adjacent interior angles.

To find the value of x:
65° + 48° = x
113° = x

Therefore, the value of x = 113°

can someone help me solve this Y= q-k/n for q

Answers

Answer:

q=y + K/n

Step-by-step explanation:

which expressions represent 94 increased by twice a number

Answers

Answer:

2x+94

Step-by-step explanation:

because 2x means 2×x +94

x= unknown number

+=increase

Figure D is the result of transforming Figure C.

1. What transformation would accomplish this?

Answers

The transformation would be rotation. It is rotation by 90 degrees into the quadrant 4

Please help me thank you

Answers

Answer:

C. The product of 12 and √17

Step-by-step explanation:

Because it gives a number that isn't a repeating or terminating decimal.

[tex]\bf \cfrac{5}{8}+\cfrac{3}{8}[/tex]

Answers

Answer:

The answer is 1

Step-by-step explanation:


Find the value of x. 50​

Answers

The value of x is 47.

The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.

180 - 83 - 50 = 47.

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202​

Answers

Answer:

10=20. divisible by 2 (2,5 = 10) both of the factor are prime

Step-by-step explanation:

BIG BRAIN

need help!! I would give you brainliest if it is correct <3

Answers

Answer: No

Step-by-step explanation:

HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be

A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm

Answers

Answer:

15.4 is right ans

Step-by-step explanation:

using this formula θ ×(22÷7÷180)×r

can you plz help.me this to find plz plz ​

Answers

Total sums=3a+bSums are correct=6b-2

Sums are incorrect

[tex]\\ \sf\longmapsto 3a+b-(6b-2)[/tex]

[tex]\\ \sf\longmapsto 3a+b-6b+2[/tex]

[tex]\\ \sf\longmapsto 3a-5b+2[/tex]

Help me with this pls!!!

Answers

Answer:

B) $1.25

Step-by-step explanation:

1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.

2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)

5 ÷ 4 = 1.2510 ÷ 8 = 1.25

3. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.

I HAVE MORE PLS HELP IT’S DUE TOMORROW

Answers

Answer 1:

[tex]y = \frac{9}{5} - \frac{6x}{5}[/tex]

Answer 2:

[tex]y = 3 - \frac{8(x+7)}{7}[/tex]

Note:

User stated an explanation was not needed.

I need help with my math homework
2/3x+17≥29

Answers

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

What is the answer first one to answer gets marked braniest

Answers

Answer:

15

Step-by-step explanation:

Multiples of 5 are 10, 15, 20, 25, .......

The only number shown to be a multiple of 5 is 15

15 because 16,21 and 7 aren’t mutiples of 5

Please help, thank you!

Answers

this isnt a linear a function since some points overlap

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−4
y=8
Choose the correct answer below.
A.
Parallel
B.
Neither
C.
Perpendicular

Answers

Parallel because they both have no slope meaning the are both horizontal lines.

find the mean of
35,26,31,16,21,23,27,30,26,17,19,27​

Answers

Hello!

To find the mean, we must add all the terms in the dataset and divide by how many there are.

35+26+31+16+21+23+27+30+26+17+19+27=450

There are 12 terms in the dataset, so we divide by 12:

37.5

So the mean of this set is 37.5.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

24.83333333 is the answer

At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?

Answers

There are 12 adults and 42 kids, which in total cost $306

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

in the the picture below, EG has a length of (4x-8) and AB has a length of 24

A 5
B 2
C 12
D 8​

Answers

Answer:

C

Step-by-step explanation:

1. Add 4x +8

the awswer would be 12x

2. subtract the 12x from the lenght which is 24

then your and will be 12

Your Answer is C. Hope this help :)

A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?

Answers

Answer:

69

Step-by-step explanation:

1,242 ÷ 18 = 69

Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.

-kiniwih426

Total Officers=1242Total groups=18

Members per group:-

[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]

[tex]\\ \sf\longmapsto 69[/tex]

I have to do IXL and i don't know what to do please help me!

3^{-2} as a fraction

Answers

Answer:

1/9

Step-by-step explanation:

(fraction in simplest form)

0.5y+7=5(0.2+1.5y) someone please help I got y=1.36 but its wrong

Answers

Answer:

y= 6/7

Step-by-step explanation:

0.5y + 7 = 5( 0.2 + 1.5y )

Get rid of the brackets first

0.5y + 7 = 1 + 7.5y

Move the like terms

0.5y + 7 - 7.5y = 1

0.5y - 7.5y = 1 - 7

Collect the like terms

-7y = -6

Divide both sides by -7 to get y on its own

y= -6/-7

A negative number divided by a negative number gives a positive number so

y = 6/7

Answer:

y=6/7  or 0.857 aprox.(0.86)

Step-by-step explanation:

[tex]0.5y+7=5(0.2+1.5y)[/tex]

[tex]0.5y+7=1+7.5y[/tex]

[tex]7.5y-0.5y=7-1[/tex]

[tex]7y=6[/tex]

[tex]y=6/7= 0.857[/tex]

I hope this help you

Solve the problem.  If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick?

Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.​

Answers

Answer:

39.37 inches in a meter stick

Step-by-step explanation:

Set up a proportional ratio: inch/cm = inch/cm

1/2.54 = ?/100                        

2.54 · ? = 100

? = 100/2.54  

? = 39.37 inches    

a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions​

Answers

Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

which of the following inequalities is graphed above?

Answers

Answer:

1st option

y=-3/8x+3

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